R. Kh. Gainutdinov, A. A. Mutygullina, A. S. Petrova, “The lifetime of a neutral electron-positron vacuum in the presence of a supercritical Coulomb field”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 1,Pages <nobr>43

The lifetime of a neutral electron-positron vacuum in the presence of a supercritical Coulomb field

R. Kh. Gainutdinov^a, A. A. Mutygullina^b, A. S. Petrova^a

^a Institute of Physics, Kazan (Volga region) Federal University, Kazan, Russia
^b Institute of Physics, Kazan (Volga region) Federal University, Kazan, Russia

Abstract: The paper deals with the interaction of a supercritical nucleus with an electron-positron vacuum. The generalized dynamic equation is used to find the energy of this interaction. An equation is derived which allows one to determine the lifetime of a neutral electron-positron vacuum in the presence of a supercritical Coulomb field.

Keywords: unstable vacuum, superheavy nuclei, vacuum polarization, lifetime of a stable vacuum.

UDC: 530.145

Received: 21.06.2011